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Finding the Fourth Proportional to 65,840.80, 98,534.40 and 39,564.40

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Solution

The fourth proportional to 65,840.80, 98,534.40 and 39,564.40 is: 59,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840.80 : 98,534.40 = 39,564.40 : x
  2. Step 2: Convert to fraction form
    65,840.80/98,534.40 = 39,564.40/x
  3. Step 3: Cross multiply
    65,840.80x = 98,534.40 × 39,564.40
  4. Step 4: Simplify right side
    65,840.80x = 3,898,454,415.36
  5. Step 5: Solve for x
    x = 3,898,454,415.36/65,840.80
  6. Step 6: Final answer
    x = 59,210.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.